Do you need the base game to play this and KotN on Xbox 360?

Answers

If you have the GOTY edition, it should be all on one disc. If you do not have the GOTY edition, you need the base game, then install the expansion(s) to your HDD. After that, put the base game in and enjoy!

To make more sense of the last answer: YES you need the base game. There is no single disk that has all content on it. Expansions are only on separate disks or downloaded from live. You need the original game disk to play.